Ignition and combustion of disperse and nanodisperse gas suspensions under dynamic conditions

Results of mathematical modeling of propagation of heterogeneous detonation waves in a mixture of fine aluminum particles in oxygen and ignition of fine metal particles in reflected and transmitted shock waves and high-temperature gas flows, which were obtained at the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences, are briefly reviewed. One-dimensional steady flows and one-dimensional and two-dimensional unsteady flows of reactive mixtures are considered. Flows in the form of weak and overdriven detonation waves and the Chapman-Jouguet detonation are found. Stability of the Chapman-Jouguet flow and weak detonation to interactions with rarefaction waves is demonstrated. Regimes of strong and weak initiation are determined; the calculated and experimental values of the initiation energy are found to be in reasonable agreement. Laminar detonation and cellular detonation for monodisperse and polydisperse mixtures are found within the framework of two-dimensional unsteady detonation flows. New numerical codes are developed for solving nonlinear-boundary-value problems of ignition of individual particles. Particular attention is paid to the accuracy of reproduction of integral parameters (burning time) of some experimental data, depending on the ambient temperature, etc. A solution of a single-phase Stefan problem of nanosized particle melting is described.